1.

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusua For a sample of n = 65, find the probability of a sample mean being less than 20.1 if u = 20 and o = 1.33. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. For a sample of n = 65, the probability of a sample mean being less than 20.1 if u = 20 and o = 1.33 is (Round to four decimal places as needed.) - X Standard Normal Table (Page 1) Standard Normal Table (Page 2) Area Arca .09 .08 .07 .06 .05 .04 .0 .02 .01 .00 Z .00 .01 .02 .03 .04 .05 -06 -07 -08 .09 Z 5319 - 3.4 .0003 .0003 .0003 .0003 0003 .0003 0003 .0003 0003 0.0 .5000 .5040 5080 .5120 5160 .5199 .5239 .5279 .5359 0004 0004 0004 0005 .0005 0005 0.1 .5398 .5438 .5478 5517 5557 5596 .5675 5714 .5753 -3.3 .0003 0004 .0004 .0004 5636 5837 5871 5987 6064 6141 - 3.2 .0005 0005 0005 5948 .6103 .0006 .0006 0006 .0006 .0006 .0007 DO07 0.2 .5793 5910 6026 - 3.1 0007 0007 0008 .0008 0008 0008 .000 .0009 .0009 .0010 0.3 6179 6217 .6255 .6293 6331 6368 .6406 6443 .6480 6517 .0012 0013 0013 0.4 6554 6591 5628 .6664 6736 6772 .6808 6844 6879 -3. 0010 0010 0011 .0011 0011 0012 -2.9 .0014 .0014 .0015 0015 .0016 10016 .0017 0018 .0018 0019 6915 6950 .6985 7019 7054 .7088 7123 7157 7190 7224 - 2.8 0019 .0020 .0021 .0021 .0022 10023 0023 .0024 0025 7257 7291 7324 7357 7389 7422 7454 .7486 7517 7549 .7580 .7704 7734 .7794 .7823 7852 - 2.7 .0026 0027 .0028 .0029 .0030 0031 .0032 0033 .0034 0035 0.7 7611 7642 7673 7764 - 2.6 0036 0037 .0038 .0039 0040 0041 004 0044 0045 0047 0.8 .7881 .7910 7939 7967 7995 8023 8051 8078 8106 8133 0052 0055 0059 DO60 0062 0.9 8159 8186 8212 8238 8264 8289 0057 8315 B340 .8365 8389 -2.5 0048 0049 .0051 .0054 8531 .8577 8599 8621 - 2.4 .0064 0066 .0068 .0069 0071 0073 .0075 0078 0080 0082 1.0 8413 8438 8461 .8485 8508 8554 - 2.3 .0084 0087 .0089 .0091 .0094 0096 .0099 0102 0104 0107 1.1 8643 8665 8686 8708 8729 .8749 8770 8790 3810 8830 0119 0122 0125 .0129 .0132 0136 0139 1.2 8849 8869 3888 8907 8925 8944 8962 .8980 8997 9015 - 2.2 .0110 .0113 0116 - 2.1 .0143 .0146 0150 .0154 .0158 0162 .0166 .0170 .0174 0179 1.3 9032 .9049 9066 9082 .9099 9115 9131 9147 9162 .9177 0188 0192 0197 0202 0207 9319 - 2.0 .0183 0212 0217 0728 1.4 9207 222 9236 9251 9265 9279 9292 9300 0222 9192 1.5 9382 9394 3406 1418 .9429 .9441 -1.9 .0233 .0239 .0244 .0250 0256 0262 .0268 .0274 .0281 0287 9332 .9345 9357 9370 0314 .0336 0344 .0351 0359 1.6 9452 9463 2474 .9484 .9495 9505 9515 9525 9535 9545 - 1.8 0294 0301 0307 .0322 0329 1.7 95 54 9564 9573 9582 9591 9599 9608 9616 9625 9633 - 1.7 0367 0375 0384 0392 0401 0409 0427 0436 9678 9686 9693 .9699 9706 - 1.6 .0455 0465 0475 .0485 .0495 0505 0516 .0526 0537 0548 1.8 9641 9649 9656 9664 9671 .0630 0643 .0655 D668 1.9 9726 9744 0571 0582 .0594 .0605 0618 .9713 9719 9732 .9738 9750 9756 .9761 9767 - 1.5 .0559 .0681 .0721 0735 0749 .0764 0778 .0193 0808 2.0 .9772 9778 9783 .9788 9793 9798 9803 9808 .9812 .9817 - 1.4 .0694 0708 9834 9846 .9854 9857 - 1.3 0823 0838 9850 0853 .0869 0885 0901 .0918 0934 .0951 0968 2.1 9821 9826 9830 9838 9842 - 1.2 0985 1003 1020 .1038 1056 1075 .1093 .1112 1131 1151 2.2 .9861 9864 9868 9871 9875 .9878 9881 9884 9887 9890 - 1.1 .1170 .1190 1210 .1230 .1251 .1271 1292 1314 1335 .1357 2.3 .9893 9896 9898 .9901 .9904 9906 9909 .9911 .9913 9916 - 1.0 .13/9 1401 .1423 1446 1469 1492 1515 1562 1587 2.4 .9918 9920 1922 9925 9927 9929 9931 9932 .9934 .9936 .1539 -0.9 1635 1660 .1685 .1711 .1736 .1762 .1788 .1814 .1841 2.5 9938 9940 2941 9943 9945 .9946 9948 .9949 .9951 9952 .1611 .2061 .2119 2.6 9953 9955 9956 9957 9959 9960 9961 9962 .9963 9964 - 0.8 .1867 1894 1922 .1949 1977 .2005 .2033 .2090 2206 2236 2266 2296 2327 2358 2389 .2420 2.7 996- 9956 1967 9968 9969 9970 9971 9972 9973 9974 - 0.7 2148 2177 1976 9977 9979 9979 .9980 .9981 - 0.6 .2451 2483 2514 2546 .2578 2611 2643 .2670 .2709 2743 2.8 9974 9975 9977 99/8 -0.5 .2776 2843 .2877 2912 2946 298 3015 .3050 3085 2.9 .9981 .9982 9982 9983 .9984 .9984 9985 .9985 .9986 998 2810 3156 3192 .3264 .3300 .3336 .3372 3409 3446 3.0 .9987 9987 987 9988 9988 .9989 9989 9989 .9990 9990 -0.4 .3121 3228 -0.3 3483 3520 .3557 3594 3632 3669 3707 374 3783 3821 3.1 .9990 .9991 9991 9991 9992 9992 9992 9992 .9993 9993 3936 3974 4013 4052 4090 4129 4168 4207 3.2 9993 .9993 9994 9994 9994 .9994 9994 9995 9995 9995 -0.2 3859 3897 9996 .9996 9997 -0.1 4247 .4286 .4325 .4364 4404 4443 .4483 4522 4562 4602 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .4681 .4721 .4761 4801 4840 .4880 4920 4960 5000 3.4 .9997 .9997 .9997 .9997 9997 9997 9997 .9997 .9997 .9998 -0.0 4641 08 .07 .06 05 .04 01 .00 01 02 .03 04 05 06 .07 .08 00The heights of fully grown trees ol a specic species are normally distributed, with a mean of 59.0 feet and a standard deviation 01 6.25 feet. Random samples of size 19 are drawn from the population. Use the central limit theorem to nd the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution. n The mean of the sampling distribution is [1; = 59.0 . The standard error of the sampling distribution is a; = 1.43 . (Round to two decimal places as needed.) Choose the correct graph of the sampling distribution below. 0 A. O B. O C. Q Q Q 111e height of women ages 20-29 is normally distributed, with a mean of 64.6 inches. Assume a = 2.6 inches. Are you more likely to randomly select 1 woman with a height less than 66.3 inches or are you more likely to select a sample 0125 women with a mean height less than 66.3 inches? Explain. E Click the icon to View page 1 of the standard normal table. E Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 66.3 inches? |:| (Round to [our decimal places as needed.) . . X Standard Normal Table (Page 1) Standard Normal Table (Page 2) 91 E ... . . z n O z .07 .00 .07 .00 .05 .04 03 .02 .01 .00 x .00 .01 .02 .03 .04 .05 .00 .07 .03 09 -3.4 .0002 0003 $003 .0003 .0003 .0003 .0003 M3 .0003 .0003 0.0 .5000 .5040 .5030 .5120 .5160 .5199 .5239 .5279 .5319 .5359 733 .0003 .0004 21104 .0004 .0004 .0004 .0004 01.15 .0005 0006 0.1 .5393 .5438 .5473 .5517 .5557 .5596 .5636 .5675 .5714 .5753 -5.2 .0005 .0005 mas .0006 00M .0005 .0006 01315 .0007 .0007 0.2 .5793 .5332 .5371 .5910 .5943 5937 .5026 5M4 .6103 .5141 -3.1 .0007 .0007 703 .0000 .0003 .0003 .0009 01319 .0009 9010 03 .5179 .6217 .6255 .6293 .6331 .5363 .6406 .6443 .6430 .6517 -3.0 .0010 .0010 .11\"! .0011 .0011 0012 .0012 0013 .0013 .0013 0.4 .6554 .5591 6523 .6664 .6700 .6735 .5772 .6303 .6944 .5379 -2.9 .0014 .0014 NIS .0015 .0016 .0016 .0017 0013 .0013 0019 0.5 .6915 .6950 .5935 .7019 .7054 .7033 .7123 .7157 .7190 1&4 2.3 .0019 0020 N21 .0021 .0022 0023 .0023 0024 .0025 .0026 0.6 .7257 .7291 .7324 .7357 .7339 .7422 .7454 .7406 .7517 .7549 ].7 .0026 0027 N20 .0029 B030 B031 .0032 121.133 .0034 9035 0.7 .7500 .761 1 .7642 .7673 .7704 .7734 .7764 .7794 .7323 .7362 2.6 .0036 .0037 JIISB .0039 .0040 0041 .0043 cm .0045 .0047 0.3 .7331 .7910 .7939 .7967 .7995 .3023 .3051 .3071! .3106 .3133 -25 .0043 .0049 .1151 .0052 .0054 .0055 .0057 .0159 .0060 0062 0.0 .3159 .0135 .3212 3233 .3254 .3239 .3315 .3340 .3365 .3339 -2.4 .0064 .0066 .0053 .0069 .0071 .0073 .0075 .0073 .0030 .0032 1.0 8413 .3433 .3461 3435 .3503 .3551 .3554 .3577 .3599 .3621 -23 .0034 .0007 5.139 0091 .0094 .0096 .0099 .0102 .0104 0107 1.1 0643 .3555 .3636 .3703 .3729 .3749 .3770 .3790 3010 5330 72.2 .0110 .0113 .0116 .0119 .0122 B125 .0129 0132 .0136 .0139 1.2 13349 3369 .3333 8N7 .3925 .3944 3962 .3930 3997 .9015 2.1 .0143 D146 1150 .0154 D153 13162 .0195 0170 .0174 9179 1.3 .9032 .M .9066 me: .9099 .9115 .9131 .9147 319 .9177 2.0 .0133 .0133 .0192 .0197 .0202 .0207 .0212 0217 .0222 .0223 1 .4 .9192 .9207 .9222 .9236 .9251 .9266 .9279 .9192 .9306 .9319 - 1 .0 .0233 .0239 .0244 .0250 .0256 .0252 .02 50 .0274 .0231 0287 1 5 .9332 .9345 .9357 .93 70 .9332 .9394 .9406 .9410 .9429 .9441 - 1.3 .0294 .0301 .0307 .0314 .0322 .0329 .0336 0344 .0351 .0359 1.3 .9452 .9463 .9474 .9434 .9495 .9505 .9515 .9525 .9535 .9545 - 1.7 .0367 .0375 .0334 .0392 .0401 .0409 .0410 0427 .0436 0446 1.7 .9554 .9564 .9573 .9532 .9591 .9599 .9603 .9616 .9625 .9633 -1.0 .0455 .0465 .0475 .0435 .0495 0505 .0516 0526 .0537 .0543 1.3 .9641 .9649 .9656 .9554 .9671 .9673 .9535 .9693 .9699 .9705 -1.5 .0559 .0571 .0682 .0594 .0615 .0613 .0630 0643 .0655 0663 1.9 .9713 .9719 .9726 .9732 .9733 .9744 .9750 .9756 .9761 .9767 1.4 .0631 .0694 .0703 .0721 .0795 B749 .0764 0773 .0793 .0303 2.0 .9772 .9773 .9733 .9733 .9793 .9793 .9303 .9603 .9312 .9317 1 .3 .1012] 0035 NE] .0369 111135 0901 .0910 13934 .0951 0965 2.1 .9021 .9026 .NEW .9334 .9330 .9042 .M 9&0 .54 .9057 1.2 .0935 .1003 .1020 .1038 .1056 .1075 .1093 .1111 .1131 .1151 2.2 .9361 .9064 .9363 .9371 SE75 .9370 .9331 .9034 .9337 .9390 1.1 .1170 .1190 .1210 .1230 .151 .1271 .1292 .1314 .1335 .1357 2.5 .9393 .9096 .9698 .9901 .9904 .9906 .9909 .9911 .9913 .9916 -1.0 .1379 .1401 .1423 .1446 .1469 .1492 .1515 .1539 .1562 .1537 2.4 .9913 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 .0 .1611 .1635 .1660 .1635 .1711 .1736 .1762 .1700 .1314 .1341 2.5 .9930 .9940 .941 .9943 .9945 .9946 .9945 .99\" .9951 .9952. 0.3 .1367 .1394 .1922 .1949 .1977 .2005 .2033 m1 .201) .2119 2.6 .9953 3955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 .7 .2143 .2177 .2206 .2236 m .2296 .2327 .2350 .2339 .242 2.7 .9965 .956 .967 .9963 .9969 .9970 .9971 .9972 .9973 .9974 -0.6 .2451 .2433 .2514 .2546 .2573 .2611 .2543 .2675 .2709 .2743 2.3 .9974 .9975 .9975 .9977 .9977 .9973 .9979 .9979 .9950 .9931 -05 .2775 .310 M .2377 .312 .2946 .2931 .3015 .3050 .5085 2.0 .9961 .9932 .9932 .9933 .9904 .9904 .9935 .9935 .9906 .9935 -0.4 .3121 .3156 .3192 .3223 .3264 .3300 .3336 .3372 .3409 .1446 3.0 .9967 .9937 .9997 .9933 .9933 .9939 .9939 .9939 .9990 .9990 -0.3 .3433 3520 .3557 .3594 36.32 .3669 .3707 3745 .3733 .1321 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 .9992 .9993 .9993 -0.2 .3359 .3397 .3935 .3974 .4013 .4052 .4090 .4129 .4169 .4207 9.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 l1 .1 .4247 A236 .43 2 5 4364 4404 .4443 .4463 4522 .4562 4602. 3.3 .9995 .9995 .9995 .996 .99 % .9996 .56 .9 996 99% .9997 70.0 14541 .4631 .4721 .4761 .4001 .4840 .4330 .4920 14960 .5000 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9993 I .09 .03 .07 .04 .05 .04 .03 .02 .01 .00 I .00 .01 .02 .170 .04 .05 .04 .07 .0I .09